dorsal/arxiv
View SchemaElectron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations
| Authors | D. R. Phillips, S. J. Wallace, N. K. Devine |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9802067 |
| URL | https://arxiv.org/abs/nucl-th/9802067 |
| DOI | 10.1103/PhysRevC.58.2261 |
| Journal | Phys.Rev.C58:2261-2282,1998 |
Abstract
The electromagnetic interactions of a relativistic two-body bound state are formulated in three dimensions using an equal-time (ET) formalism. This involves a systematic reduction of four-dimensional dynamics to a three-dimensional form by integrating out the time components of relative momenta. A conserved electromagnetic current is developed for the ET formalism. It is shown that consistent truncations of the electromagnetic current and the $NN$ interaction kernel may be made, order-by-order in the coupling constants, such that appropriate Ward-Takahashi identities are satisfied. A meson-exchange model of the $NN$ interaction is used to calculate deuteron vertex functions. Calculations of electromagnetic form factors for elastic scattering of electrons by deuterium are performed using an impulse-approximation current. Negative-energy components of the deuteron's vertex function and retardation effects in the meson-exchange interaction are found to have only minor effects on the deuteron form factors.
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"abstract": "The electromagnetic interactions of a relativistic two-body bound state are\nformulated in three dimensions using an equal-time (ET) formalism. This\ninvolves a systematic reduction of four-dimensional dynamics to a\nthree-dimensional form by integrating out the time components of relative\nmomenta. A conserved electromagnetic current is developed for the ET formalism.\nIt is shown that consistent truncations of the electromagnetic current and the\n$NN$ interaction kernel may be made, order-by-order in the coupling constants,\nsuch that appropriate Ward-Takahashi identities are satisfied. A meson-exchange\nmodel of the $NN$ interaction is used to calculate deuteron vertex functions.\nCalculations of electromagnetic form factors for elastic scattering of\nelectrons by deuterium are performed using an impulse-approximation current.\nNegative-energy components of the deuteron\u0027s vertex function and retardation\neffects in the meson-exchange interaction are found to have only minor effects\non the deuteron form factors.",
"arxiv_id": "nucl-th/9802067",
"authors": [
"D. R. Phillips",
"S. J. Wallace",
"N. K. Devine"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.2261",
"journal_ref": "Phys.Rev.C58:2261-2282,1998",
"title": "Electron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations",
"url": "https://arxiv.org/abs/nucl-th/9802067"
},
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